Natural Convection in a Trapezoidal Enclosure with Wavy Top Surface
The effects of various parameters, Rayleigh number (Ra), Darcy number (Da), and wave amplitude (a), on natural convection inside a trapezoidal enclosure with wavy top surface are studied. The enclosure is filled with seawater having Prandtl number (Pr) of 7.2 and uniformly heated on bottom and parti...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/840632 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849684823711416320 |
|---|---|
| author | Pensiri Sompong Supot Witayangkurn |
| author_facet | Pensiri Sompong Supot Witayangkurn |
| author_sort | Pensiri Sompong |
| collection | DOAJ |
| description | The effects of various parameters, Rayleigh number (Ra), Darcy number (Da), and wave amplitude (a), on natural convection inside a trapezoidal enclosure with wavy top surface are studied. The enclosure is filled with seawater having Prandtl number (Pr) of 7.2 and uniformly heated on bottom and partially heated on inclined boundaries. The flow field and temperature distribution are observed when interested parameters are chosen for Ra = 104, 105, and 106, Da = 10−5, 10−4, and 10−3, and a=0.9, 1, and 1.1. FlexPDE, a finite element model builder, is used to solve the governing equations to obtain the numerical results displayed by streamlines and isotherms. From the study
results, convection motion is affected by different parameters in which the increase in flow intensity and temperature distribution can be seen at higher Rayleigh and Darcy numbers. The wavy top surface has small influence on the flow field and temperature distribution compared to the influence of Rayleigh and Darcy numbers. |
| format | Article |
| id | doaj-art-bd228a13bf3a4b0d837b1a16c425644d |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-bd228a13bf3a4b0d837b1a16c425644d2025-08-20T03:23:19ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/840632840632Natural Convection in a Trapezoidal Enclosure with Wavy Top SurfacePensiri Sompong0Supot Witayangkurn1Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandThe effects of various parameters, Rayleigh number (Ra), Darcy number (Da), and wave amplitude (a), on natural convection inside a trapezoidal enclosure with wavy top surface are studied. The enclosure is filled with seawater having Prandtl number (Pr) of 7.2 and uniformly heated on bottom and partially heated on inclined boundaries. The flow field and temperature distribution are observed when interested parameters are chosen for Ra = 104, 105, and 106, Da = 10−5, 10−4, and 10−3, and a=0.9, 1, and 1.1. FlexPDE, a finite element model builder, is used to solve the governing equations to obtain the numerical results displayed by streamlines and isotherms. From the study results, convection motion is affected by different parameters in which the increase in flow intensity and temperature distribution can be seen at higher Rayleigh and Darcy numbers. The wavy top surface has small influence on the flow field and temperature distribution compared to the influence of Rayleigh and Darcy numbers.http://dx.doi.org/10.1155/2013/840632 |
| spellingShingle | Pensiri Sompong Supot Witayangkurn Natural Convection in a Trapezoidal Enclosure with Wavy Top Surface Journal of Applied Mathematics |
| title | Natural Convection in a Trapezoidal Enclosure with Wavy Top Surface |
| title_full | Natural Convection in a Trapezoidal Enclosure with Wavy Top Surface |
| title_fullStr | Natural Convection in a Trapezoidal Enclosure with Wavy Top Surface |
| title_full_unstemmed | Natural Convection in a Trapezoidal Enclosure with Wavy Top Surface |
| title_short | Natural Convection in a Trapezoidal Enclosure with Wavy Top Surface |
| title_sort | natural convection in a trapezoidal enclosure with wavy top surface |
| url | http://dx.doi.org/10.1155/2013/840632 |
| work_keys_str_mv | AT pensirisompong naturalconvectioninatrapezoidalenclosurewithwavytopsurface AT supotwitayangkurn naturalconvectioninatrapezoidalenclosurewithwavytopsurface |